maks3 p2 99/4542 t3-5 - · pdf filean area of 4cm2 and a perimeter of ... look at the...

KS3/00/Ma/Tier 3-5/P22

Answers

Calculators

Instructions

✎This means write downyour answer or show yourworking and your answer.

You may use a calculator in this test.


Menu

1.

(a) Rifat buys egg, chips and milk.

How much does she pay?

She pays with a £5 note.

How much change should she get?

(b) George wants to buy burger, mash and 2 eggs.

He has £1.50

How much more money does he need?

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Making Shapes

2. Look at this quadrilateral.

You can draw one line on the quadrilateral to make two triangles.

(a) Use a ruler to draw a line in a different place on the quadrilateral to make two triangles.

(b) Now draw one line on the quadrilateral to make a quadrilateral and a triangle.

(c) Now draw one line on the quadrilateral to make two quadrilaterals.

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(d) Draw two lines on the square below to make four triangles that are all the same size.

(e) Now draw two lines on the square below to make four squares that are all the same size.

Use a ruler and draw the squares accurately.

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Calculations

3. Write down the answers.

(a) Add 238 to 567, then subtract 143

(b) Multiply 369 by 14, then add 834

(c) Add 94 to half of 778

(d) How much less than 1000 is 59 × 16 ?

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4. The chart shows which factor sun cream is recommended for differentplaces.

(a) Amy says:

What factor sun cream should she use after the first 3 days?

(b) Eric says:

Use the chart to answer the following questions.

Where might Eric be going on his holiday?

What type of skin does Eric have?


Sun Cream

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Warm Hot Very HotUK Southern Europe The Tropics

Type first after the first after the first after theof skin 3 days first 3 3 days first 3 3 days first 3

days days days

fair 20 12 20 12 35 20

medium 16 8 20 12 20 12

dark 12 6 12 6 12 8

I have dark skin and I’m going to The Tropics.

The chart shows I must use factor 16 sun creamfor my holiday.


Rulers

5. There are 15 rulers in a box.

A box of rulers costs £1.45

(a) How many rulers are there in 8 boxes?

(b) How much do 8 boxes cost?

(c) How much do 30 rulers cost?

(d) How many boxes of rulers could you buy for £7.25?

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1 markrulers

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Measuring

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6. (a) What number is the arrow pointing to on this scale?

(b) Draw an arrow on the scale below to show the number 112

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The number is . . . . . . .✎

KS3/00/Ma/Tier 3-5/P210

Shapes

7. The shaded rectangle has

an area of 4cm2

and a perimeter of 10cm.

(a) Look at the cross-shape.

Fill in the gaps below.

The cross-shape has

an area of . . . . . cm2

and a perimeter of . . . . . cm.

(b) Draw a shape with an area of 6cm2

(c) What is the perimeter of your shape?

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cm

KS3/00/Ma/Tier 3-5/P211

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(d) Look at the octagon.

What is the area of the octagon?

(e) Explain how you know that the perimeter of the octagon is more than 8cm.

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cm2

KS3/00/Ma/Tier 3-5/P212

Tokens

8. A class has some gold tokens and some silver tokens.

The tokens are all the same size.

(a) The teacher puts 4 gold tokens and 1 silver token in a bag.

Leah is going to take one token out of the bag without looking.

She says:

Explain why Leah is wrong.

(b) How many more silver tokens should the teacher put in the bag tomake it just as likely that Leah will get a gold token as a silver token?

(c) Jack has a different bag with 8 tokens in it.

It is more likely that Jack will take a gold tokenthan a silver token from his bag.

How many gold tokens might there be in Jack’s bag?

There are two colours, so it is just as likelythat I will get a gold token as a silver token.

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KS3/00/Ma/Tier 3-5/P213

Temperatures

9. A book shows two ways to change °C to °F

(a) Fill in the gaps.

Using the exact rule, 25°C is . . . . . . . °F

Using the approximate rule, 25°C is . . . . . . . °F

(b) Fill in the gaps.

Using the exact rule, 0°C is . . . . . . . °F

Using the approximate rule, 0°C is . . . . . . . °F

(c) Show that at 10°C, the exact rule and the approximate rule give thesame answers.

exact rule

multiply the °C temperature by 1.8then add 32

approximate rule

double the °C temperature then add 30

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KS3/00/Ma/Tier 3-5/P214

Coaches

10. (a) A club wants to take 3000 people on a journey to London.

The club secretary says:

How many coaches do they need for the journey?

Show your working.

(b) Each coach costs £420

What is the total cost of the coaches?

(c) How much is each person’s share of the cost?

We can go in coaches.Each coach can carry 52 people.

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£✎. . . .1 mark

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. . . . . . . coaches

KS3/00/Ma/Tier 3-5/P215

Cereal

11. In each box of cereal there is a free gift of a card.

You cannot tell which card will be in a box. Each card is equally likely.

There are four different cards: A, B, C or D

(a) Zoe needs card A

Her brother Paul needs cards C and D

They buy one box of cereal.

What is the probability that the card is one that Zoe needs?

What is the probability that the card is one that Paul needs?

(b) Then their mother opens the box.She tells them the card is not card A

Now what is the probability the card is one that Zoe needs?

What is the probability that the card is one that Paul needs?

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KS3/00/Ma/Tier 3-5/P216

Drawing

12. I make a model with 6 cubes.

The drawings show my model from different views.

(a) I join one more cube to my model.

The drawing from view A shows where I join the cube.

Complete the drawing from view B

(b) Then I move the cube to a different position.


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view A view B

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view Bview A

view A

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view B

KS3/00/Ma/Tier 3-5/P217

(c) I add two cubes to make a different shape.


(d) I start again with my original model of 6 cubes.

The drawing shows it from view A and from view B

I start to draw it from a different view.

Complete the drawing from view C

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view A view B

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view C

view B

view A

KS3/00/Ma/Tier 3-5/P218

Huts

13. You can make ‘huts’ with matches.

1 hut needs 2 huts need 3 huts need5 matches 9 matches 13 matches

A rule to find how many matches you need is

m = 4h + 1

m stands for the number of matches.

h stands for the number of huts.

(a) Use the rule to find how many matches you need to make 8 huts.

Show your working.

(b) I use 81 matches to make some huts.

How many huts do I make?

Show your working.

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KS3/00/Ma/Tier 3-5/P219

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(c) Andy makes different ‘huts’ with matches.

1 hut needs 2 huts need 3 huts need6 matches 11 matches 16 matches

Circle the rule below that shows how many matches he needs.

Remember: m stands for the number of matches.

h stands for the number of huts.

m = h + 5 m = 4h + 2 m = 4h + 3

m = 5h + 1 m = 5h + 2 m = h + 13

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KS3/00/Ma/Tier 3-5/P220

Canteen

14. A school has a new canteen.

A special person will be chosen to perform the opening ceremony.

The names of all the pupils, all the teachers and all the canteen staffare put into a box.

One name is taken out at random.

A pupil says:

The pupil is wrong. Explain why.

There are only three choices.It could be a pupil, a teacher or one of the canteen staff.The probability of it being a pupil is 1

3

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KS3/00/Ma/Tier 3-5/P221

Percentages B, Sign

15. Calculate

8% of £26.50 =

12 % of £98 =

16. How many kilometres are there in 5 miles?

Complete the missing part of the sign.

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£

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£

Footpath to Hightown

5 miles or . . . . . . . kilometres

12

KS3/00/Ma/Tier 3-5/P222

Teachers

17. A newspaper predicts what the ages of secondary school teachers willbe in six years’ time.

They print this chart.

(a) The chart shows 24% of male teachers will be aged 40 to 49

About what percentage of female teachers will be aged 40 to 49?

(b) About what percentage of female teachers will be aged 50+?

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Graphic: Laura Sylvester/TES

KS3/00/Ma/Tier 3-5/P223

(c) The newspaper predicts there will be about20 000 male teachers aged 40 to 49

Estimate the number of male teachers that will be aged 50+

(d) Assume the total number of male teachers will be about the same asthe total number of female teachers.

Use the chart to decide which statement is correct.

Tick ( � ) your answer.

Generally, male teachers will tend tobe younger than female teachers.

Generally, female teachers will tend tobe younger than male teachers.

Explain how you used the chart to decide.

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maks3 p2 99/4542 t3-5 - · pdf filean area of 4cm2 and a perimeter of ... look at the...

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